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15.

Q: Find the next number in the pattern 1 3 2 6 3 9 4 12 5?

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12

The rule of this pattern is -2 + 6 +4 so the next number would be 16.

324

The pattern is that for the first number, add 1. For the second number, subtract. Repeat to negative infinity. So the next number will be 3.

75

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768

12

The rule of this pattern is -2 + 6 +4 so the next number would be 16.

The pattern is that for the first number, add 1. For the second number, subtract. Repeat to negative infinity. So the next number will be 3.

12

324

75

It is: 1440

12+ 6 is the number on the outside add up to the on in the middle

It is possible to find a polynomial of degree 5 such that any number at all can be made the next number in the sequence. However, using the following 4th degree polynomial, Un = (n4 - 15n3 + 85n2 - 225n + 274)/2 the next number is 20.

eight

The next number could be 25. +3, +6, +9, +12 etc.